**Radiative MHD Sutterby Nanofluid Flow Past a Moving Sheet: Scaling Group Analysis**

### **Mohammed M. Fayyadh 1, Kohilavani Naganthran 2, Md Faisal Md Basir 3, Ishak Hashim 2,\* and Rozaini Roslan 1**


Received: 20 July 2020; Accepted: 24 August 2020; Published: 26 August 2020

**Abstract:** The present theoretical work endeavors to solve the Sutterby nanofluid flow and heat transfer problem over a permeable moving sheet, together with the presence of thermal radiation and magnetohydrodynamics (MHD). The fluid flow and heat transfer features near the stagnation region are considered. A new form of similarity transformations is introduced through scaling group analysis to simplify the governing boundary layer equations, which then eases the computational process in the MATLAB bvp4c function. The variation in the values of the governing parameters yields two different numerical solutions. One of the solutions is stable and physically reliable, while the other solution is unstable and is associated with flow separation. An increased effect of the thermal radiation improves the rate of convective heat transfer past the permeable shrinking sheet.

**Keywords:** scaling group analysis; Sutterby fluid; nanofluid; magnetohydrodynamics (MHD); stability analysis
